{"as_of":"2026-08-12T12:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:80796204854c50751dab05f43901cc696d0478b2a6dd54c19e152e923541726b","coverage":[{"denominator":25,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":25,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T20:35:06.006966Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T00:14:20.316842Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"pith","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"pith"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"cited_work":{"arxiv_id":"2507.02500","doi":"10.48550/arxiv.2507.02500","metadata_source":"pith","pith_arxiv_id":"2507.02500","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","venue":"math.NA","work_id":"3c7b21da-8e46-411f-9a30-d3b7723c9d76","year":2025},"citing_paper":{"arxiv_id":"2511.02552","last_updated":"2026-02-04T07:30:13Z","snapshot_observed_at":"2026-08-11T10:04:49.544214Z","submitted_at":"2025-11-04T13:04:40Z","title":"Sparse Source Identification in Transient Advection-Diffusion Problems with a Primal-Dual-Active-Point Strategy","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-04T00:14:20.316842Z"},"links":{"cited_paper":"/paper/2507.02500","citing_paper":"/paper/2511.02552"},"observation_digest":"sha256:a14c7708d1ac9506a4f606cd04f6d342e54ce113194d6463faf3e4bc6274c1ba","observation_id":"ad081f12-f011-4c0f-8cc7-536e8d6e0f51","resolution":{"observed_at":"2026-08-04T00:18:21.930856Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2507.02500/citation-record","integrity":"/paper/2507.02500/integrity","json":"/paper/2507.02500/citation-record.json","paper":"/paper/2507.02500"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:03.818298Z","title":"From Data to Decisions: A Real-Time Measurement–Inversion–Prediction–Steering Framework for Hazardous Events and Health Monitoring, pages 195–227","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:03.818298Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:ae03cc795b09f91eae0ff97c354c7843ada930518bfbc60eb931a98023f7b5c0","observation_id":"b9339872-69c4-4848-a448-d272c9bcde1f","resolution":{"observed_at":"2026-08-06T20:35:03.818298Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:03.857377Z","title":"hIPPYlib: An extensible software framework for large-scale inverse problems governed by PDEs: Part I: Deterministic inversion and linearized Bayesian inference","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:03.857377Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:7c78e12e3e3792ee03878d744dbd6e86adbd538f2fb68089fba218a0ff8b0f05","observation_id":"08b567ba-1c2f-4987-aff5-fb0a929d465b","resolution":{"observed_at":"2026-08-06T20:35:03.857377Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:07.678669Z","title":"Model variational inverse problems governed by partial differential equations","venue":null,"work_id":"28d3b0f4-363a-41dc-a622-29755eee3914","year":2011},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:03.965022Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:8b183c6d6e1290fb83b34635c13fc8f1a08c05ee8d4c7a17117aee35755da7a2","observation_id":"e81df519-cee8-4100-9cb0-6c698e259ce8","resolution":{"observed_at":"2026-08-06T20:35:07.705705Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:04.072906Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:04.072906Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:1ce4f19212d8e1e22e1acea56d4303b0fe9ee3eccd701166182f9f02b19135fe","observation_id":"c011aee2-8433-4cfb-9db1-523e6c826921","resolution":{"observed_at":"2026-08-06T20:35:04.072906Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:04.151526Z","title":"Randomized algorithms for the low-rank approximation of matrices","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:04.151526Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:cd557895eed4ac58209366b7e1834ebf6d88511f6a8d9bd122bb9b0ca4242fdd","observation_id":"8f30f678-cd13-495f-a36a-194667fe3d2b","resolution":{"observed_at":"2026-08-06T20:35:04.151526Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:04.279230Z","title":"Local and superlinear convergence for truncated iterated projections methods","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:04.279230Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:a06b1b4742f15e7510edcb8ccb69023a449f3a2e19c57c1d38a33261ae778d53","observation_id":"a4700b78-afe0-4fd2-abeb-c2dbb62ab5d4","resolution":{"observed_at":"2026-08-06T20:35:04.279230Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:04.369239Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:04.369239Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:dd40840060038c917cfc2d54edca99312dbc61741d85fe307d9dcb894dec5275","observation_id":"c4ddd190-0157-4acf-8653-0ddaad28c555","resolution":{"observed_at":"2026-08-06T20:35:04.369239Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:07.524658Z","title":"Goal-oriented optimal approximations of Bayesian linear inverse problems","venue":null,"work_id":"b5a4b80e-6456-4b08-908d-075f58373fbb","year":null},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:04.458475Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:a8a3e11b96e1c6ce1f68090dc4d59b4a3c9f76c80487f273d9e2af4663b80081","observation_id":"e2aa725c-cbce-48ff-9e33-f3b7a9cf5137","resolution":{"observed_at":"2026-08-06T20:35:07.609810Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:04.658356Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:04.658356Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:d64a3273c02f66dcc29b442ad65e3cec989cf71d6a95ad6df744672d815b430b","observation_id":"a4979d2e-44a3-4127-8ab9-7cf01639c91c","resolution":{"observed_at":"2026-08-06T20:35:04.658356Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:04.764790Z","title":"An offline-online decomposition method for efficient linear Bayesian goal-oriented optimal experimental design: Application to optimal sensor placement","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:04.764790Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:2c251fea5079840dbcb3eca8fc7d4eba4f6b4aa4723054c35cad907fce90f5be","observation_id":"7f0c3418-b9d6-4094-9d38-1216df0538f4","resolution":{"observed_at":"2026-08-06T20:35:04.764790Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:04.864694Z","title":"Optimal experimental design for infinite-dimensional Bayesian inverse problems governed by PDEs: a review","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:04.864694Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:e41b79ecdd079b92ff16ce676e5946630e859d2d4fda45e8d9db946fb4ea6a5a","observation_id":"75f87a79-4148-4a05-9ac5-e87c558f3452","resolution":{"observed_at":"2026-08-06T20:35:04.864694Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:04.949377Z","title":"Elman and Tengfei Su","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:04.949377Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:a0f500f96cb9cd763485faf4eb6219e5d1a47a0a7be7c915277dd4ae82a5b41d","observation_id":"70c95b3a-248e-4f6b-ac52-eb34af71c3f1","resolution":{"observed_at":"2026-08-06T20:35:04.949377Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:07.365049Z","title":"Choosing observation operators to mitigate model error in Bayesian inverse problems","venue":null,"work_id":"8a4fe50b-7422-4501-a8f8-99fd7743a902","year":null},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:05.026914Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:a21cae3428028544e91462d33ed386e0aa8851ebdeaddc963ebaaafc91d2314e","observation_id":"62b2df60-fa23-4d5a-9dbf-4efde1a6cd81","resolution":{"observed_at":"2026-08-06T20:35:07.434984Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-642-22261-0","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T00:03:56.115653Z","title":"Lineare Funktionalanalysis","venue":null,"work_id":"f5f7f67f-2c09-4a07-9da6-2e6d2cc9e199","year":2012},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:05.208255Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:117893a393295e364449d70f892a083e0f66339bd77fb79c3fe4bf4843adad5c","observation_id":"f90fca7a-78dd-42ea-9c34-0498abad558d","resolution":{"observed_at":"2026-08-06T20:35:06.411630Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:05.311316Z","title":"A-optimal design of experiments for infinite-dimensional Bayesian linear inverse problems with regularized ℓ0-sparsification","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:05.311316Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:0d604772ceca9775583839033af19baf947bf499212312ea6d3ba0f06e7d11b0","observation_id":"5cb1d542-3eea-400d-934b-1d86eea4a58f","resolution":{"observed_at":"2026-08-06T20:35:05.311316Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:05.413159Z","title":"Contaminant dispersion simulation in a digital twin framework for critical infrastructure protection","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:05.413159Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:124e7c3389097e17280ec00ca2e35e8d6addc7b76873c866e1ff547cc10a1cd1","observation_id":"23e98d59-db09-4aac-8c90-25fd07709902","resolution":{"observed_at":"2026-08-06T20:35:05.413159Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:05.493081Z","title":"Mitigating the influence of the boundary on PDE-based covariance operators","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:05.493081Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:a39ce6b9ed6b6644e2338d492078eb38212b528bc087f0907576d29f4aeceb73","observation_id":"72f17409-2d3d-4bf3-a154-b81eb6252ce5","resolution":{"observed_at":"2026-08-06T20:35:05.493081Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:05.572675Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:05.572675Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:5766e77d8cc12039b322d59d60c9a2d27fe059bbd35fec6de6f8eced3ec97bcc","observation_id":"5c74f1c9-a9c3-448b-a314-2d4310537c63","resolution":{"observed_at":"2026-08-06T20:35:05.572675Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:07.201185Z","title":"Model Reduction for Dynamic Sensor Steering: A Bayesian Approach to Inverse Problems","venue":null,"work_id":"0333c682-914b-47aa-a786-064a59a41d04","year":2008},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:05.665987Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:269bdd8cd5c952b91ccdf04e1700347683e3321fe735c493ce915e1850a9b603","observation_id":"23f17382-1fe6-4603-ac39-632c8055392d","resolution":{"observed_at":"2026-08-06T20:35:07.266306Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:05.762419Z","title":"Towards real-time urban physics simulations with digital twins","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:05.762419Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:f831c31de130504062fad1eedcb9bfa633b85c4c87c87edf31001327d45779af","observation_id":"e098d302-3264-4b49-91c6-e6fbcbd07c6c","resolution":{"observed_at":"2026-08-06T20:35:05.762419Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:05.856226Z","title":"Baratta, Joseph P","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:05.856226Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:2bd32254bc48c848b26cc7fc62680277075d878b4f5fe7748eaef660cf2886e8","observation_id":"9ddcfdd5-e0cf-43c3-ac29-f5de53acff01","resolution":{"observed_at":"2026-08-06T20:35:05.856226Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:35:05.922556Z","title":"Linear convergence of accelerated conditional gradient algorithms in spaces of measures","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:05.922556Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:863a9bd0dcbf03fa52657c11a47b108edb53d8333666747cf9ce7c6876b042b3","observation_id":"27e6ab3f-92ac-4002-9d13-fa05d7465ba4","resolution":{"observed_at":"2026-08-06T20:35:05.922556Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3934/acse.2023001","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Investigation of reinforcement learning for shape optimization of 2D profile extrusion die geometries","venue":"Advances in Computational Science and Engineering","work_id":"e6a42944-7776-4705-a9ca-593c36496fae","year":2023},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:06.006966Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:c00e73a37a2c1975d989b20496cc99c524008d592e1c1a78fb331573792df997","observation_id":"b26b9b4b-c272-4762-9b91-68a045cd5b75","resolution":{"observed_at":"2026-08-06T20:35:06.199544Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/16m1082123","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"doi:10.1137/16M1082123","venue":"SIAM Journal on Scientific Computing","work_id":"57dd98b7-9f28-43a8-9922-f0f81cc4c3da","year":null},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":2017,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:04.554744Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:9a17fcdd5483af78114a259a424104e012e2b991516555dcd5e41dff13d0c87a","observation_id":"48e8eddd-8349-41cf-a44d-e2f0e22159bb","resolution":{"observed_at":"2026-08-06T20:35:06.719805Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/23m1602140","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"SIAM/ASA Journal on Uncertainty Quantification","work_id":"ce27d5d6-88f0-4562-adfe-7536358f6f87","year":null},"citing_paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management","version":2},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-06T20:35:05.108892Z"},"links":{"citing_paper":"/paper/2507.02500"},"observation_digest":"sha256:8a924dfc708a93b3105f710e14a5c761c90b261b8dad8f0500332721ff637178","observation_id":"fcd9227c-fb3f-459c-89e8-629b6960afe7","resolution":{"observed_at":"2026-08-06T20:35:06.569405Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.02500","last_updated":"2025-07-08T08:04:07Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-12T10:49:13.325897Z","submitted_at":"2025-07-03T10:04:59Z","title":"Goal-oriented optimal sensor placement for PDE-constrained inverse problems in crisis management"},"reference_resolution":{"displayed":25,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":16,"verified_exact":4,"verified_fuzzy":4},"total_outbound_references":25},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 1 inbound Pith citation observation for arXiv:2507.02500."}